Geodesic
On Ulam--Hyers stability of solutions to first-order differential equations with generalized action
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 25-32

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This paper is devoted to sufficient conditions for the Ulam–Hyers stability of solutions of first-order linear differential equations. We introduce the concept of the Ulam–Hyers stability for equations with unbounded right-hand sides whose solutions are functions of bounded variation and obtain sufficient conditions that guarantee this stability.
Keywords: Ulam–Hyers stability, differential equation, discontinuous solution. 
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     author = {E. Z. Zainullina and V. S. Pavlenko and A. N. Sesekin and N. V. Gredasova},
     title = {On {Ulam--Hyers} stability of solutions to first-order differential equations with generalized action},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {209},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_209_a2/}
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E. Z. Zainullina; V. S. Pavlenko; A. N. Sesekin; N. V. Gredasova. On Ulam--Hyers stability of solutions to first-order differential equations with generalized action. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 25-32. http://geodesic.mathdoc.fr/item/INTO_2022_209_a2/